{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_excel('HFU.xlsx')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Porosity(%)</th>\n",
       "      <th>Klinkenberg-K(mD)</th>\n",
       "      <th>K-Air(mD)</th>\n",
       "      <th>Grain Density(g/cm3)</th>\n",
       "      <th>Sample</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9.6</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.008</td>\n",
       "      <td>2.75</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.0</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.004</td>\n",
       "      <td>2.72</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>11.5</td>\n",
       "      <td>0.010</td>\n",
       "      <td>0.020</td>\n",
       "      <td>2.71</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>8.6</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.006</td>\n",
       "      <td>2.70</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.7</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.007</td>\n",
       "      <td>2.73</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Porosity(%)  Klinkenberg-K(mD)  K-Air(mD)  Grain Density(g/cm3)  Sample\n",
       "0          9.6              0.005      0.008                  2.75       1\n",
       "1          7.0              0.002      0.004                  2.72       2\n",
       "2         11.5              0.010      0.020                  2.71       3\n",
       "3          8.6              0.004      0.006                  2.70       4\n",
       "4          7.7              0.003      0.007                  2.73       5"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x197243b82e0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(df.isnull())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('default')\n",
    "sns.distplot(df['Grain Density(g/cm3)'])\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x19724cafa30>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(df['K-Air(mD)'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# gp = df[['Grain Density(g/cm3)','Porosity(%)']].dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Grain Density(g/cm3)'] = df['Grain Density(g/cm3)'].interpolate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "phiz = 0.01*df['Porosity(%)']/(1-0.01*df['Porosity(%)'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Phi_z'] = phiz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Porosity(%)</th>\n",
       "      <th>Klinkenberg-K(mD)</th>\n",
       "      <th>K-Air(mD)</th>\n",
       "      <th>Grain Density(g/cm3)</th>\n",
       "      <th>Sample</th>\n",
       "      <th>Phi_z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9.6</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.008</td>\n",
       "      <td>2.75</td>\n",
       "      <td>1</td>\n",
       "      <td>0.106195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.0</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.004</td>\n",
       "      <td>2.72</td>\n",
       "      <td>2</td>\n",
       "      <td>0.075269</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>11.5</td>\n",
       "      <td>0.010</td>\n",
       "      <td>0.020</td>\n",
       "      <td>2.71</td>\n",
       "      <td>3</td>\n",
       "      <td>0.129944</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>8.6</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.006</td>\n",
       "      <td>2.70</td>\n",
       "      <td>4</td>\n",
       "      <td>0.094092</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.7</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.007</td>\n",
       "      <td>2.73</td>\n",
       "      <td>5</td>\n",
       "      <td>0.083424</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Porosity(%)  Klinkenberg-K(mD)  K-Air(mD)  Grain Density(g/cm3)  Sample  \\\n",
       "0          9.6              0.005      0.008                  2.75       1   \n",
       "1          7.0              0.002      0.004                  2.72       2   \n",
       "2         11.5              0.010      0.020                  2.71       3   \n",
       "3          8.6              0.004      0.006                  2.70       4   \n",
       "4          7.7              0.003      0.007                  2.73       5   \n",
       "\n",
       "      Phi_z  \n",
       "0  0.106195  \n",
       "1  0.075269  \n",
       "2  0.129944  \n",
       "3  0.094092  \n",
       "4  0.083424  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['RQI'] = 0.0314*np.sqrt(df['Klinkenberg-K(mD)']/(0.01*df['Porosity(%)']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Porosity(%)</th>\n",
       "      <th>Klinkenberg-K(mD)</th>\n",
       "      <th>K-Air(mD)</th>\n",
       "      <th>Grain Density(g/cm3)</th>\n",
       "      <th>Sample</th>\n",
       "      <th>Phi_z</th>\n",
       "      <th>RQI</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9.6</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.008</td>\n",
       "      <td>2.75</td>\n",
       "      <td>1</td>\n",
       "      <td>0.106195</td>\n",
       "      <td>0.007166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.0</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.004</td>\n",
       "      <td>2.72</td>\n",
       "      <td>2</td>\n",
       "      <td>0.075269</td>\n",
       "      <td>0.005308</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>11.5</td>\n",
       "      <td>0.010</td>\n",
       "      <td>0.020</td>\n",
       "      <td>2.71</td>\n",
       "      <td>3</td>\n",
       "      <td>0.129944</td>\n",
       "      <td>0.009259</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>8.6</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.006</td>\n",
       "      <td>2.70</td>\n",
       "      <td>4</td>\n",
       "      <td>0.094092</td>\n",
       "      <td>0.006772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.7</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.007</td>\n",
       "      <td>2.73</td>\n",
       "      <td>5</td>\n",
       "      <td>0.083424</td>\n",
       "      <td>0.006198</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Porosity(%)  Klinkenberg-K(mD)  K-Air(mD)  Grain Density(g/cm3)  Sample  \\\n",
       "0          9.6              0.005      0.008                  2.75       1   \n",
       "1          7.0              0.002      0.004                  2.72       2   \n",
       "2         11.5              0.010      0.020                  2.71       3   \n",
       "3          8.6              0.004      0.006                  2.70       4   \n",
       "4          7.7              0.003      0.007                  2.73       5   \n",
       "\n",
       "      Phi_z       RQI  \n",
       "0  0.106195  0.007166  \n",
       "1  0.075269  0.005308  \n",
       "2  0.129944  0.009259  \n",
       "3  0.094092  0.006772  \n",
       "4  0.083424  0.006198  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['FZI'] = df['RQI']/df['Phi_z']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Porosity(%)</th>\n",
       "      <th>Klinkenberg-K(mD)</th>\n",
       "      <th>K-Air(mD)</th>\n",
       "      <th>Grain Density(g/cm3)</th>\n",
       "      <th>Sample</th>\n",
       "      <th>Phi_z</th>\n",
       "      <th>RQI</th>\n",
       "      <th>FZI</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9.6</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.008</td>\n",
       "      <td>2.75</td>\n",
       "      <td>1</td>\n",
       "      <td>0.106195</td>\n",
       "      <td>0.007166</td>\n",
       "      <td>0.067480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.0</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.004</td>\n",
       "      <td>2.72</td>\n",
       "      <td>2</td>\n",
       "      <td>0.075269</td>\n",
       "      <td>0.005308</td>\n",
       "      <td>0.070515</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>11.5</td>\n",
       "      <td>0.010</td>\n",
       "      <td>0.020</td>\n",
       "      <td>2.71</td>\n",
       "      <td>3</td>\n",
       "      <td>0.129944</td>\n",
       "      <td>0.009259</td>\n",
       "      <td>0.071257</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>8.6</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.006</td>\n",
       "      <td>2.70</td>\n",
       "      <td>4</td>\n",
       "      <td>0.094092</td>\n",
       "      <td>0.006772</td>\n",
       "      <td>0.071971</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.7</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.007</td>\n",
       "      <td>2.73</td>\n",
       "      <td>5</td>\n",
       "      <td>0.083424</td>\n",
       "      <td>0.006198</td>\n",
       "      <td>0.074294</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Porosity(%)  Klinkenberg-K(mD)  K-Air(mD)  Grain Density(g/cm3)  Sample  \\\n",
       "0          9.6              0.005      0.008                  2.75       1   \n",
       "1          7.0              0.002      0.004                  2.72       2   \n",
       "2         11.5              0.010      0.020                  2.71       3   \n",
       "3          8.6              0.004      0.006                  2.70       4   \n",
       "4          7.7              0.003      0.007                  2.73       5   \n",
       "\n",
       "      Phi_z       RQI       FZI  \n",
       "0  0.106195  0.007166  0.067480  \n",
       "1  0.075269  0.005308  0.070515  \n",
       "2  0.129944  0.009259  0.071257  \n",
       "3  0.094092  0.006772  0.071971  \n",
       "4  0.083424  0.006198  0.074294  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt.plot(np.log(df['RQI'], np.log(df['FZI'])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# !jt -r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x19725e718e0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.regplot(np.log(df['RQI']),np.log(df['FZI']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.log(df['Phi_z'])\n",
    "\n",
    "y = np.log(df['RQI'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Log(RQI) = Log(FZI) + Log(Phi_Z)')"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.grid()\n",
    "plt.title('Log(RQI) = Log(FZI) + Log(Phi_Z)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1972602e580>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.regplot(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(np.log(df['FZI']),bins=4)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# log(FZI) Bins- \n",
    "1. <-1.5\n",
    "2. -1.5 to -0.5\n",
    "3. -0.5 to 0.5\n",
    "4. 0.5+"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x197297a1c40>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.loglog(df['RQI'],df['Phi_z'],'*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "cumsum = np.cumsum(np.log(df['FZI']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x19729be8be0>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['log(FZI)'] = np.log(df['FZI'])\n",
    "df['log(RQI)'] = np.log(df['RQI'])\n",
    "df['log(phi_z)'] = np.log(df['Phi_z'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = df[df['log(FZI)'] <-1.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "df2 = df[(df['log(FZI)'] >= -1.5) & (df['log(FZI)'] <=-0.5)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "df3 = df[(df['log(FZI)'] >= -0.5) & (df['log(FZI)'] <=0.5)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "df4 = df[df['log(FZI)'] >0.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "#line1\n",
    "logRQI1 = -2 + df1['log(RQI)']\n",
    "\n",
    "\n",
    "#line2\n",
    "logRQI2 = -1.05 + np.log(df2['Phi_z'])\n",
    "\n",
    "\n",
    "#line3\n",
    "logRQI3 = -0.1 + np.log(df3['Phi_z'])\n",
    "\n",
    "#line4\n",
    "\n",
    "logRQI4 = 1 + np.log(df4['Phi_z'])\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "plt.scatter(df1['log(phi_z)'],df1['log(RQI)'])\n",
    "plt.scatter(df2['log(phi_z)'],df2['log(RQI)'])\n",
    "plt.scatter(df3['log(phi_z)'],df3['log(RQI)'])\n",
    "plt.scatter(df4['log(phi_z)'],df4['log(RQI)'])\n",
    "\n",
    "\n",
    "# plt.plot(df1['log(phi_z)'],logRQI1)\n",
    "\n",
    "\n",
    "sns.regplot(df1['log(phi_z)'],df1['log(RQI)'],label='HFU #1')\n",
    "sns.regplot(df2['log(phi_z)'],df2['log(RQI)'],label='HFU #2')\n",
    "sns.regplot(df3['log(phi_z)'],df3['log(RQI)'],label='HFU #3')\n",
    "sns.regplot(df4['log(phi_z)'],df4['log(RQI)'],label='HFU #4')\n",
    "\n",
    "plt.title('HFU characterization of ##-## Field')\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.grid()\n",
    "# plt.plot(df1['log(phi_z)'],logRQI1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
